The equation is
.
Differentiate on each side with respect to
.



The values of
and
.

The derivative with respect to is
.
\
\
(2)
\The area of the square is
.
The side of the square is increasing at rate
.
Let the side of the square is
.
The area of the square is
.

Differentiate area of the square is
on each side with respect to t.

Substitute
and
in the above.

Therefore the rate of change in the area is
.
\